198059040 has 288 divisors, whose sum is σ = 737372160. Its totient is φ = 49641984.

The previous prime is 198059023. The next prime is 198059063. The reversal of 198059040 is 40950891.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 198058986 and 198059004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1559457 + ... + 1559583.

It is an arithmetic number, because the mean of its divisors is an integer number (2560320).

Almost surely, 2^198059040 is an apocalyptic number.

198059040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198059040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368686080).

198059040 is an abundant number, since it is smaller than the sum of its proper divisors (539313120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

198059040 is a wasteful number, since it uses less digits than its factorization.

198059040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 198059040 is about 14073.3450181540. The cubic root of 198059040 is about 582.9055940939.

The spelling of 198059040 in words is "one hundred ninety-eight million, fifty-nine thousand, forty".